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Finding the Fourth Proportional to 261.92, 394.65 and 217.28

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Solution

The fourth proportional to 261.92, 394.65 and 217.28 is: 327.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.92 : 394.65 = 217.28 : x
  2. Step 2: Convert to fraction form
    261.92/394.65 = 217.28/x
  3. Step 3: Cross multiply
    261.92x = 394.65 × 217.28
  4. Step 4: Simplify right side
    261.92x = 85,750.54
  5. Step 5: Solve for x
    x = 85,750.54/261.92
  6. Step 6: Final answer
    x = 327.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.